A particle of mass m is placed in a simple harmonic oscillator (SHO) potential. a) Write...

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A particle of mass m is placed in a simple harmonic oscillator (SHO) potential. a) Write down a statevector ) which maximizes the expectation value in position, (x), and is constructed as a linear combination of the ground state energy eigenvector for the SHO (0)) and the first excited state energy eigenvector for the SHO (1)) b) Assume the initial state vector at time t = 0 is that which was found in part a). Evaluate the expectation value for position, (x), as a function of time for t > 0. c) Find (Ar)2 as a function of time. A particle of mass m is placed in a simple harmonic oscillator (SHO) potential. a) Write down a statevector ) which maximizes the expectation value in position, (x), and is constructed as a linear combination of the ground state energy eigenvector for the SHO (0)) and the first excited state energy eigenvector for the SHO (1)) b) Assume the initial state vector at time t = 0 is that which was found in part a). Evaluate the expectation value for position, (x), as a function of time for t > 0. c) Find (Ar)2 as a function of time.

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Solution Finding the state vector Step 1 IpVp IsVs Where where ... View the full answer